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Finding the Third Proportional to 1,142,443,406 and 2,487,704,185

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Solution

The third proportional to 1,142,443,406 and 2,487,704,185 is: 5,417,049,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,443,406 : 2,487,704,185 = 2,487,704,185 : x
  2. Step 2: Convert to fraction form
    1,142,443,406/2,487,704,185 = 2,487,704,185/x
  3. Step 3: Cross multiply
    1,142,443,406x = 2,487,704,185 × 2,487,704,185
  4. Step 4: Simplify right side
    1,142,443,406x = 6,188,672,112,066,513,920
  5. Step 5: Solve for x
    x = 6,188,672,112,066,513,920/1,142,443,406
  6. Step 6: Final answer
    x = 5,417,049,176.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.